Pith Number

pith:Z2OFBKW4

pith:2019:Z2OFBKW4CMSG5NT3C2WDBL7JQD

not attested not anchored not stored refs pending

On formal groups and geometric quantization

Jack Morava

arxiv:1905.06181 v3 · 2019-05-15 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2OFBKW4CMSG5NT3C2WDBL7JQD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

On a complex topological orientation for circle-equivariant K-theory

Receipt and verification

First computed	2026-07-05T00:34:00.716865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce9c50aadc13246eb67b16ac30afe980fd648735897f34d37b7ab2246a3e62bd

Aliases

arxiv: 1905.06181 · arxiv_version: 1905.06181v3 · doi: 10.48550/arxiv.1905.06181 · pith_short_12: Z2OFBKW4CMSG · pith_short_16: Z2OFBKW4CMSG5NT3 · pith_short_8: Z2OFBKW4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z2OFBKW4CMSG5NT3C2WDBL7JQD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ce9c50aadc13246eb67b16ac30afe980fd648735897f34d37b7ab2246a3e62bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b19c130dd654de1e755f8f2ad27a9a6c2e096c1bcf3ee1a089b968ca6e7fd21",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-05-15T13:44:06Z",
    "title_canon_sha256": "bb5941298c6fb4c53b828427f1813b00a28b52ab59a4ec6efb24acb34c17c4b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06181",
    "kind": "arxiv",
    "version": 3
  }
}